University of MaraghehSahand Communications in Mathematical Analysis2322-580717120200101A Common Fixed Point Theorem Using an Iterative Method91983737010.22130/scma.2019.71435.281ENAliBagheri VakilabadDepartment of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran.Journal Article20170906Let $ H$ be a Hilbert space and $C$ be a closed, convex and nonempty subset of $H$. Let $T:C \rightarrow H$ be a non-self and non-expansive mapping. V. Colao and G. Marino with particular choice of the sequenceÂ $\{\alpha_{n}\}$ in Krasonselskii-Mann algorithm, ${x}_{n+1}={\alpha}_{n}{x}_{n}+(1-{\alpha}_{n})T({x}_{n}),$ proved both weak and strong converging results. In this paper, we generalize their algorithm and result, imposing some conditions upon the set $C$ and finite many mappings from $C$ in to $H$, to obtain a converging sequence to a common fixed point for these non-self and non-expansive mappings.https://scma.maragheh.ac.ir/article_37370_e9337f670d410e4fac3017fecc1697be.pdf